Arithmetic and geometric sequences and series
11th grade (Year 12 in England) · 16 questions · Common Core: HSF.BF.A.2, HSA.SSE.B.4, HSF.LE.A.2 · England: GCSE Higher Algebra
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Question 1
A geometric sequence starts 3, −6, 12, … What is the 8th term?
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Question 2
Find the sum of the first 5 terms of the geometric series 3 + 9 + 27 + …
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Question 3
Find the sum of the first 29 terms of the arithmetic series 6 + 12 + 18 + …
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Question 4
A geometric sequence starts 2, 6, 18, … What is the 4th term?
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Question 5
Find the sum of the first 7 terms of the geometric series 3 + 9 + 27 + …
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Question 6
Find the sum of the first 20 terms of the arithmetic series 7 + 5 + 3 + …
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Question 7
A geometric sequence starts 5, 10, 20, … What is the 5th term?
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Question 8
Find the sum of the first 6 terms of the geometric series 2 + 6 + 18 + …
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Question 9
Find the sum of the first 17 terms of the arithmetic series 17 + 14 + 11 + …
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Question 10
A geometric sequence starts 6, −18, 54, … What is the 4th term?
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Question 11
Find the sum of the first 3 terms of the geometric series 2 + 4 + 8 + …
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Question 12
Find the sum of the first 23 terms of the arithmetic series 17 + 15 + 13 + …
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Question 13
A geometric sequence starts 5, −15, 45, … What is the 8th term?
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Question 14
Find the sum of the first 6 terms of the geometric series 5 + 10 + 20 + …
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Question 15
Find the sum of the first 12 terms of the arithmetic series 17 + 14 + 11 + …
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Question 16
A geometric sequence starts 6, −18, 54, … What is the 6th term?
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